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Finding the Fourth Proportional to 149,547.20, 224,443.20 and 148,380.80

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Solution

The fourth proportional to 149,547.20, 224,443.20 and 148,380.80 is: 222,692.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,547.20 : 224,443.20 = 148,380.80 : x
  2. Step 2: Convert to fraction form
    149,547.20/224,443.20 = 148,380.80/x
  3. Step 3: Cross multiply
    149,547.20x = 224,443.20 × 148,380.80
  4. Step 4: Simplify right side
    149,547.20x = 33,303,061,570.56
  5. Step 5: Solve for x
    x = 33,303,061,570.56/149,547.20
  6. Step 6: Final answer
    x = 222,692.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.